Answer the following question on the first picture and second picture (b) Based on your answer to part (a), choose the correct statement.O The value of the test statistic lies in the rejection region.O The value of the test statistic doesn't lie in the rejection region.?(c) Based on your answer to part (b), which statement below Is true at the 0.10 level of significance?O The null hypothesis should be rejected.O The null hypothesis should not be rejected.? 3467810Suppose there is a claim that a certain population has a mean, u, that is different than 5. You want to test this clairn. To do so, you collect a large randomsample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis H, and the alternativehypothesis H, as follows.H: u=5H: u+5Suppose you also know the following information.The critical values are -1.645 and 1.645 (rounded to 3 decinal places).The value of the test statistic is -0.809 (rounded to 3 decimal places).(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 2: Enter the critical value(s).(Round to 3 decimal places.)0.201-Step 3: Enter the test statistic.(Round to 3 decimal places.)

Answered: Image /qna-images/answer/d8841e98-7f0b-4d07-9f2f-ef0be792abc7.jpg

b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies in the rejection region. O The value of the test statistic doesn't lie in the rejection region. ? c) Based on your answer to part (b), which statement below Iis true at the 0.10 level of significance? O The null hypothesis should be rejected. O The null hypothesis should not be rejected. ?